Yes, we are understanding each other . You have understood what I have said perfectly
Okay. I agree with you that a "period of peace" defined as "a time of universal faith all over the world" cannot come AFTER the reign of Antichrist, if we define "the world" as our present world.
But I want to make a distinction, there is our present "world" and there is the new "world" to come, described in Apocalypse 21 as the "New Heaven and New Earth."
First, I think we agree that a "period of peace" defined as "a time of universal faith" all over the PRESENT world is impossible and heretical because that is a form of chiliasm or millenarianism. In our present world (or age), it is impossible to realize this kind of "peace" that is reserved only for "eternity." This "period of peace" can only happen after Satan (and sin and death) are finally defeated. That will not happen in our present material-temporal world.
Chiliasm is wrong because it tries to bring an eternal reality (the "period of peace") into the present world. The error can be seen concretely in the false translation of the Gloria.
Chiliastic: "Glory to God in the highest, and on earth peace, good will toward men."
Catholic: "Glory to God in the highest; and on earth peace to men of good will."
The Chilastics hope for an earthly peace in the present world. They seek to achieve it by being of "good will" toward other people. If we are kind and tolerant with one another, we can have peace in this present world. That is the Millenarian dream of heaven on earth. That is false teaching according to the true Catholic Faith.
The Catholics, on the other hand, have always known that there is true peace only for those men who seek to do the will of God. This means if we keep the Commandments (the Greatest Commandment and love neighbor as ourselves, which perfects the Ten Commandments), then we will possess the peace of God in the present world (imperfectly because only in our souls) and in the next world (perfectly because it will be universal for all souls in paradise).
So, going back to my first statement in the first sentence of this reply, I say that perfect, universal "period of peace" will definitely come AFTER the reign of Antichrist, when the new "world" to come (the New Earth, i.e. paradise) is opened up again supernaturally. However, I will add that this "period of peace" (an imperfect glimpse) can be experienced by some faithful even BEFORE the reign of Antichrist ends (and before the return of Our Lord). But they will experience the "peace" only in their own souls if they are still living in the present world. It will never be universal throughout the present world in the souls of all men.
I know I said a lot. And I probably did not say it well. Please let me know what I need to clarify.